A sum analogous to Kloosterman sum and its fourth power mean

The main purpose of this paper is using the analytic methods and the properties of the Legendre’s symbol and quadratic residue mod p to study the computational problem of the fourth power mean of a sum analogous to Kloosterman sum, and give a sharp asymptotic formula for it.

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Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 3; pp. 2569 - 2576
Main Authors Yanqin, He, Chaoxi, Zhu, Zhuoyu, Chen
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
a sum analogous to kloosterman sum
analytic method
asymptotic formula
the fourth power mean
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Summary:The main purpose of this paper is using the analytic methods and the properties of the Legendre’s symbol and quadratic residue mod p to study the computational problem of the fourth power mean of a sum analogous to Kloosterman sum, and give a sharp asymptotic formula for it.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020168